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Finding the Fourth Proportional to 9,646.89, 13,317.03 and 5,668.26

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Solution

The fourth proportional to 9,646.89, 13,317.03 and 5,668.26 is: 7,824.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.89 : 13,317.03 = 5,668.26 : x
  2. Step 2: Convert to fraction form
    9,646.89/13,317.03 = 5,668.26/x
  3. Step 3: Cross multiply
    9,646.89x = 13,317.03 × 5,668.26
  4. Step 4: Simplify right side
    9,646.89x = 75,484,388.47
  5. Step 5: Solve for x
    x = 75,484,388.47/9,646.89
  6. Step 6: Final answer
    x = 7,824.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.